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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Geometry &amp; Graphics</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Geometry &amp; Graphics</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Геометрия и графика</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2308-4898</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">20730</article-id>
   <article-id pub-id-type="doi">10.12737/article_5ad09a84cbd105.88047545</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Научные проблемы геометрии</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Scientific problems of geometry</subject>
    </subj-group>
    <subj-group>
     <subject>Научные проблемы геометрии</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Discription of Process for Sheet Material Deforming With Using of Parametric Solid-State Simulation</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Описание процесса деформирования листового материала с использованием параметрического твердотельного моделирования</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Булычев</surname>
       <given-names>Р. Н.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Bulychev</surname>
       <given-names>R. N.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Аюшеев</surname>
       <given-names>Т. В.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Ayusheev</surname>
       <given-names>T. V.</given-names>
      </name>
     </name-alternatives>
     <bio xml:lang="ru">
      <p>доктор технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>doctor of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Восточно-Сибирский государственный университет технологий и управления</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">East Siberia State University of Technology and Management</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Восточно-Сибирский государственный университет технологий и управления</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">East Siberia State University of Technology and Management</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <volume>6</volume>
   <issue>1</issue>
   <fpage>48</fpage>
   <lpage>56</lpage>
   <self-uri xlink:href="https://naukaru.ru/en/nauka/article/20730/view">https://naukaru.ru/en/nauka/article/20730/view</self-uri>
   <abstract xml:lang="ru">
    <p>В работе рассмотрен процесс моделирования технологии послойного деформирования листовых заготовок. При описании процесса использование поверхностных моделей не желательно из конструктивных и технологических соображений, так как для описания поверхности каждого слоя необходимо преобразование каркаса исходной поверхности с учетом изменения толщины слоя, что приводит к росту объема перерабатываемой информации. Для решения указанной проблемы был использован перспективный метод параметрического твердотельного моделирования для описания геометрии детали и процесса. Данный метод позволил описать тело многослойной конструкции с учетом особенностей технологии послойного деформирования листового материала. Рассмотренная модель задания формы и многослойной структуры позволила описать процесс образования проектируемой формы от стадии плоской заготовки до готовой формы изделия. При этом отсутствует операция перезадания искомого каркаса поверхности промежуточного слоя. Были разработаны основные программные модули для описания процесса послойного деформирования в среде MathCAD. Основная программа описания процесса включает в себя следующие модули: описание параметрической твердотельной модели, описание траектории движения давильника, расчет параметров процесса деформирования, определение поверхности деформирования скругленными краями в заданном слое. Разработанный программный комплекс был апробирован при изготовлении детали пирамидальной формы. Для реализации послойного деформирования был использован станок с ЧПУ. Приведенные результаты теоретических и экспериментальных исследований на примере изготовления детали пирамидальной формы из листового материала показали, что использование такой формы описания многослойной конструкции, как параметрическая твердотельная модель, положительно сказывается на повышении качества поверхности получаемой детали.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>In this paper has been considered the process for simulation of technology for layer-by-layer deformation of sheet bars. In process describing the use of surface models is not desirable for reasons of design and technology, so as for each layer’s surface description its necessary to convert the original surface’s skeleton taking into account the layer thickness change, that leads to processed information’s volume increasing. To solve this problem has been used a perspective method of parametric solid-state simulation for description of sheet bar’s geometry and simulation process. This method has allowed describe a body of multi-layer construction, taking into account special features of sheet material’s layer-by-layer deformation technology. Considered model for assignment of shape and multi-layer structure made it possible to describe the process for formation of the designed shape from flat blank to finished sheet bar’s shape. In such a case, there is no operation for resetting of sought skeleton for interlayer surface. Basic program modules have been developed to describe the process for layer-by-layer deformation in MathCAD. The main program for process description includes the following modules: module for description of parametric solid-state model; module for description of the spinning tool’s motion trajectory; module for calculation of deformation process parameters; module for definition of deformation surface by rounded edges in the specified layer. The developed program complex was probated during manufacture of a detail with pyramidal shape. To implement the layer-by-layer deformation was used a CNC machine. The quoted results of theoretical and experimental researches on the example of manufacturing the pyramidal detail from sheet material have demonstrated that the use of such a form of description for multi-layer construction as parametric solid-state model has a positive impact on the obtaining detail’s surface quality improving.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>послойное деформирование</kwd>
    <kwd>листовая заготовка</kwd>
    <kwd>параметрическое моделирование</kwd>
    <kwd>многослойная конструкция</kwd>
    <kwd>геометрическое моделирование.</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>layer-by-layer deformation</kwd>
    <kwd>sheet bar</kwd>
    <kwd>parametrical simulation</kwd>
    <kwd>multi-layer construction</kwd>
    <kwd>geometrical simulation.</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p>1. ВведениеПри численном моделировании процесса формообразования конструкций методом послойного деформирования из листовых материалов возникает важная геометрическая задача построения поверхности деформирования листовой заготовки при воздействии на нее давильного устройства [1; 3–5; 23].</p>
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